Finite Group Databasebeta

← Group #13172014

Character table — Group #13172014

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114
size1111222222222222444444444444444444444666666668888888888888121212121212121212121212121212121212121212121212121218182424242424242424242424243636363636363636363636727272108108
order122233366666666623336666666666666666622441212121236666666666662444666612121212121212121212121212121212121244666666121212121212244441212121212126121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-11-111111111111-1-1111111111111-1-111-1-11-111-1-1-1-11-1-111-1-111-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-1-1-11111111111111111-1111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-11-11-1-1-111-1-1-11-1-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-11111111111111-11-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-11-111-1-11-1-1-11-1-1-1-1-1-11-1111
χ51111111111111111111111111111111111111-1-111111111111111111111-111-1-1-1-1-1-11111111111111111-1-111-1-111-11-1-1111-1-1-11-1-1-1-1-1-11-11-1-1
χ61111111111111111111111111111111111111-1-11111111111111111111-1-1-11-1-1-1-1-1-11111-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-111-1-1-11-111
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111111111-11-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-11-1-111-1-11-1-111-1-111-1-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1
χ91111111111111111-1111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1111-1-1-1-11-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-11-1-11-1-1-1-111-111-11
χ101111111111111111-1111-1-1-1-111-1-1-1-11111111111111111-1-1-1-1-1111-1-1-1-1-1-11-11111-1-111-1-111-1-11111-1-1-1-111-1-111-1-1-11-1-1111-1-11-1-1-111111-1-11-1
χ111111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-111111-1-1-1-111-1-111-1-1-1-11111-1-1111111-1-1-1-1-1-1111-1-111-1-1-1-111-11-1
χ121111111111111111-1111-1-1-1-111-1-1-1-1111111111-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-11111-1-1-1-111-1-1-11-1-111-1-11111111-1-1-1-11-11
χ131111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11111111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111-1-1111-111-1-1-1-11111111-1-1-1-111-1
χ141111111111111111-1111-1-1-1-111-1-1-1-11111111-1-11111111-1-1-1-1-1111-1-1-1-1-111-1-1-1-1-11111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-111-1-11
χ151111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-111-11-1-1-1-111-1-111-1-111-1-1-1-111111111-1-1111-111-1-11-1-11-1-1-111111-1-1-11
χ161111111111111111-1111-1-1-1-111-1-1-1-11111111-1-1-1-1-1-1-1-11-1-1-1-1-1111-1-1-1-1-1111-1-1-1-111-1-1111111-1-1-1-1111111-1-1-1-1-1-1111111-11-1-11-1-1-1-111-1111-1
χ17222222-12-12-1222-122-12-122-1-1-1-1-1-1-1-122-1-12-1-100222222-1222-1-1-1-1-1-1-1-1-12022000000-1-1-1-12222-1-1-1-1-1-1-1-1002-100-1-10-100-1-120002000000-10-100
χ18222222-12-12-1222-122-12-122-1-1-1-1-1-1-1-122-1-12-1-100222222-1222-1-1-1-1-1-1-1-1-1-20-22000000-1-1-1-1-2-222-1-1-1-1-1-1-1-100-210011010011-2000-200000010100
χ19222222-12-12-1222-122-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1202-2000000111122-2-211111111002-100-1-10-100-1-1-2000-200000010100
χ20222222-12-12-1222-122-12-122-1-1-1-1-1-1-1-122-1-12-1-100-2-2-2-2-2-2-1222-1-1-1-1-1-1-1-1-1-20-2-20000001111-2-2-2-21111111100-21001101001120002000000-10-100
χ21222222-12-12-1222-12-2-12-1-2-211-1-1111122-1-12-1-100222222-1-2-2-211-1-1-1111120-2-2000000-1-111-2-2-2-2-1-1-1-11111002-100-1-1010011-2000200000010-100
χ22222222-12-12-1222-12-2-12-1-2-211-1-1111122-1-12-1-100222222-1-2-2-211-1-1-11111-202-2000000-1-11122-2-2-1-1-1-1111100-2100110-100-1-12000-2000000-10100
χ23222222-12-12-1222-12-2-12-1-2-211-1-1111122-1-12-1-100-2-2-2-2-2-2-1-2-2-211-1-1-1111120-2200000011-1-1-2-2221111-1-1-1-1002-100-1-10100112000-2000000-10100
χ24222222-12-12-1222-12-2-12-1-2-211-1-1111122-1-12-1-100-2-2-2-2-2-2-1-2-2-211-1-1-11111-202200000011-1-122221111-1-1-1-100-2100110-100-1-1-2000200000010-100
χ2522222-12-12222-1-12222-1-12222222222-1-1-1-1-1-1222000000-1-1-1-1-1-1-1-1-1-1-1-1-1222022-1-1220000-1-1000000000000-12-1-1-1-1-12-1-1-1-10202000-1-1000-1000
χ2622222-12-12222-1-12222-1-12222222222-1-1-1-1-1-1222000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2022-1-1220000110000000000001-2-1-111-1-2-1-1110-20-2000110001000
χ2722222-12-12222-1-12222-1-12222222222-1-1-1-1-1-12-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-12-220-2-211-2-20000-1-1000000000000-1211-1-11211-1-10-20-2000110001000
χ2822222-12-12222-1-12222-1-12222222222-1-1-1-1-1-12-2-2000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-20-2-211-2-20000110000000000001-211111-211110202000-1-1000-1000
χ2922222-12-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1222000000-111111-1-1-111112-2-2022-1-1-2-2000011000000000000-12-1-1-1-11-21111020-200011000-1000
χ3022222-12-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-1222000000-111111-1-1-11111-2-22022-1-1-2-20000-1-10000000000001-2-1-1111211-1-10-202000-1-10001000
χ3122222-12-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-2000000-111111-1-1-1111122-20-2-21122000011000000000000-1211-1-1-1-2-1-1110-202000-1-10001000
χ3222222-12-12222-1-122-22-1-1-2-2-2-222-2-2-2-2-1-1-1-1-1-12-2-2000000-111111-1-1-11111-2220-2-211220000-1-10000000000001-21111-12-1-1-1-1020-200011000-1000
χ332222-12222-12-1222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-12222-1-1-1-1-12-1-122-1-1-1-1-1-1-10202-1-122-1-1222200-1-1-1-1-1-1-1-1-1-12200-1-10020-1-10000200-1-100-1-100000
χ342222-12222-12-1222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-122-2-21111-12-1-122-1-1-1-1-1-1-1020-2-1-122-1-1-2-2-2-2001111111111-2-200-1-10020-1-10000-20011001100000
χ352222-12222-12-1222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-222-1-1-1-1-12-1-122-1-1-1-1-1-1-10-20211-2-211222200-1-1-1-1-1-1-1-1-1-1-2-2001100-20110000-20011001100000
χ362222-12222-12-1222-12-1-12-1-122-1-1-1-1-1-1-1-122-12-1-2-2-2-21111-12-1-122-1-1-1-1-1-1-10-20-211-2-211-2-2-2-200111111111122001100-20110000200-1-100-1-100000
χ372222-12222-12-1222-1-2-1-1211-2-2-1-11111-1-122-12-12222-1-1-1-1-1-211-2-2-1-1-111110-20-2-1-1221122-2-20011-1-1-1-111112200-1-100-20110000-2001100-1-100000
χ382222-12222-12-1222-1-2-1-1211-2-2-1-11111-1-122-12-122-2-21111-1-211-2-2-1-1-111110-202-1-12211-2-22200-1-11111-1-1-1-1-2-200-1-100-20110000200-1-1001100000
χ392222-12222-12-1222-1-2-1-1211-2-2-1-11111-1-122-12-1-2-222-1-1-1-1-1-211-2-2-1-1-11111020-211-2-2-1-122-2-20011-1-1-1-11111-2-200110020-1-10000200-1-1001100000
χ402222-12222-12-1222-1-2-1-1211-2-2-1-11111-1-122-12-1-2-2-2-21111-1-211-2-2-1-1-11111020211-2-2-1-1-2-22200-1-11111-1-1-1-12200110020-1-10000-2001100-1-100000
χ4122-2-2222-222-2-22-2-2-2022200002-20000-2-22-22-2-22-22i−2i2i2i−2i−2i2000002-2-2000000002-22-2002i−2i0000002i2i−2i−2i00002i−2i002-2000000000000000002i−2i00000
χ4222-2-2222-222-2-22-2-2-2022200002-20000-2-22-22-2-22-2−2i2i−2i−2i2i2i2000002-2-2000000002-22-200−2i2i000000−2i−2i2i2i0000−2i2i002-200000000000000000−2i2i00000
χ4322-2-2222-222-2-22-2-2-2022200002-20000-2-22-22-2-2-222i−2i2i2i−2i−2i2000002-2-200000000-22-22002i−2i0000002i2i−2i−2i0000−2i2i00-2200000000000000000−2i2i00000
χ4422-2-2222-222-2-22-2-2-2022200002-20000-2-22-22-2-2-22−2i2i−2i−2i2i2i2000002-2-200000000-22-2200−2i2i000000−2i−2i2i2i00002i−2i00-22000000000000000002i−2i00000
χ4522-2-2-122-22-1-212-2-210-1-12−i3i300-11−i3−i3i3i3112-2-1-212-22i−2i−i−iii-10−i3i300-111−i3−i3i3i30000-112-2−i3i32i−2i00003−3−i−iii33−3−32i−2i00-110000−i3i300000003−300−ii00000
χ4622-2-2-122-22-1-212-2-210-1-12−i3i300-11−i3−i3i3i3112-2-1-212-2−2i2iii−i−i-10−i3i300-111−i3−i3i3i30000-112-2−i3i3−2i2i0000−33ii−i−i−3−333−2i2i00-110000−i3i30000000−3300i−i00000
χ4722-2-2-122-22-1-212-2-210-1-12−i3i300-11−i3−i3i3i3112-2-1-21-222i−2i−i−iii-10−i3i300-111−i3−i3i3i300001-1-22i3−i32i−2i00003−3−i−iii33−3−3−2i2i001-10000i3−i30000000−3300i−i00000
χ4822-2-2-122-22-1-212-2-210-1-12−i3i300-11−i3−i3i3i3112-2-1-21-22−2i2iii−i−i-10−i3i300-111−i3−i3i3i300001-1-22i3−i3−2i2i0000−33ii−i−i−3−3332i−2i001-10000i3−i300000003−300−ii00000
χ4922-2-2-122-22-1-212-2-210-1-12i3−i300-11i3i3−i3−i3112-2-1-212-22i−2i−i−iii-10i3−i300-111i3i3−i3−i30000-112-2i3−i32i−2i0000−33−i−iii−3−3332i−2i00-110000i3−i30000000−3300−ii00000
χ5022-2-2-122-22-1-212-2-210-1-12i3−i300-11i3i3−i3−i3112-2-1-212-2−2i2iii−i−i-10i3−i300-111i3i3−i3−i30000-112-2i3−i3−2i2i00003−3ii−i−i33−3−3−2i2i00-110000i3−i300000003−300i−i00000
χ5122-2-2-122-22-1-212-2-210-1-12i3−i300-11i3i3−i3−i3112-2-1-21-222i−2i−i−iii-10i3−i300-111i3i3−i3−i300001-1-22−i3i32i−2i0000−33−i−iii−3−333−2i2i001-10000−i3i300000003−300i−i00000
χ5222-2-2-122-22-1-212-2-210-1-12i3−i300-11i3i3−i3−i3112-2-1-21-22−2i2iii−i−i-10i3−i300-111i3i3−i3−i300001-1-22−i3i3−2i2i00003−3ii−i−i33−3−32i−2i001-10000−i3i30000000−3300−ii00000
χ5344444-2-2-2-24-24-2-2-244-2-2144-2-2-2-2-2-2-2-2-2-211-21-2000000001-2-2-211111111140400000000000-2-2000000000000-2-200110-200110000000000000000
χ5444444-2-2-2-24-24-2-2-244-2-2144-2-2-2-2-2-2-2-2-2-211-21-2000000001-2-2-2111111111-40-400000000000220000000000002200-1-10200-1-10000000000000000
χ5544444-2-2-2-24-24-2-2-24-4-2-21-4-422-2-22222-2-211-21-2000000001222-1-1111-1-1-1-140-40000000000022000000000000-2-200110200-1-10000000000000000
χ5644444-2-2-2-24-24-2-2-24-4-2-21-4-422-2-22222-2-211-21-2000000001222-1-1111-1-1-1-1-40400000000000-2-20000000000002200-1-10-200110000000000000000
χ574444-24-24-2-2-2-244-2-241-2-2-2-2-2-2111111-2-2-2-2-2-210044-2-2-2-214-2-2-2-211111110004000000-2-2-2-200-2-211111111000000000000000000000000000000
χ584444-24-24-2-2-2-244-2-241-2-2-2-2-2-2111111-2-2-2-2-2-2100-4-4222214-2-2-2-21111111000-400000022220022-1-1-1-1-1-1-1-1000000000000000000000000000000
χ594444-24-24-2-2-2-244-2-2-41-2-2222211-1-1-1-1-2-2-2-2-2-210044-2-2-2-21-42222111-1-1-1-1000-4000000-2-22200221111-1-1-1-1000000000000000000000000000000
χ604444-24-24-2-2-2-244-2-2-41-2-2222211-1-1-1-1-2-2-2-2-2-2100-4-422221-42222111-1-1-1-1000400000022-2-200-2-2-1-1-1-11111000000000000000000000000000000
χ614444-2-24-24-24-2-2-24-24-21-2-2-244-2-2-2-2-2-211-2-21-2-2440000001-211-2-211111110400-2-2-2-2-2-2000000000000000000001100-2011000000000000000000
χ624444-2-24-24-24-2-2-24-24-21-2-2-244-2-2-2-2-2-211-2-21-2-2-4-40000001-211-2-211111110-40022222200000000000000000000-1-10020-1-1000000000000000000
χ634444-2-24-24-24-2-2-24-2-4-21-222-4-4-2-2222211-2-21-2-24400000012-1-122111-1-1-1-10-400-2-2-2-22200000000000000000000110020-1-1000000000000000000
χ644444-2-24-24-24-2-2-24-2-4-21-222-4-4-2-2222211-2-21-2-2-4-400000012-1-122111-1-1-1-104002222-2-200000000000000000000-1-100-2011000000000000000000
χ6544-4-444-2-4-242-44-42-40-24-20000-220000-4-4-22422004i−4i4i4i−4i−4i-200000-22200000000000000−2i2i000000−2i−2i2i2i0000000000000000000000000000000000
χ6644-4-444-2-4-242-44-42-40-24-20000-220000-4-4-2242200−4i4i−4i−4i4i4i-200000-222000000000000002i−2i0000002i2i−2i−2i0000000000000000000000000000000000
χ6744-4-44-24244-4-4-22-4-404-2-200004-4000022-22-22-44-4000000-200000-222000000004-4-220000000000000000000000-22000000000000000000000000
χ6844-4-44-24244-4-4-22-4-404-2-200004-4000022-22-22-4-44000000-200000-22200000000-442-200000000000000000000002-2000000000000000000000000
χ6944-4-4-24-2-4-2-2224-42201-2-2−2i32i3001-1i3i3−i3−i322-22-22-1004i−4i−2i−2i2i2i10−2i32i3001-1-1i3i3−i3−i30000000000−2i2i000023−23ii−i−i−3−333000000000000000000000000000000
χ7044-4-4-24-2-4-2-2224-42201-2-2−2i32i3001-1i3i3−i3−i322-22-22-100−4i4i2i2i−2i−2i10−2i32i3001-1-1i3i3−i3−i300000000002i−2i0000−2323−i−iii33−3−3000000000000000000000000000000
χ7144-4-4-24-2-4-2-2224-42201-2-22i3−2i3001-1−i3−i3i3i322-22-22-1004i−4i−2i−2i2i2i102i3−2i3001-1-1−i3−i3i3i30000000000−2i2i0000−2323ii−i−i33−3−3000000000000000000000000000000
χ7244-4-4-24-2-4-2-2224-42201-2-22i3−2i3001-1−i3−i3i3i322-22-22-100−4i4i2i2i−2i−2i102i3−2i3001-1-1−i3−i3i3i300000000002i−2i000023−23−i−iii−3−333000000000000000000000000000000
χ7344-4-4-2-2424-2-42-22-420-21-2−2i32i300-22−2i3−2i32i32i3-1-1-221224-400000010i3−i3001-1-1i3i3−i3−i30000-22-22−2i32i3000000000000000000001-10000i3−i3000000000000000000
χ7444-4-4-2-2424-2-42-22-420-21-2−2i32i300-22−2i3−2i32i32i3-1-1-22122-4400000010i3−i3001-1-1i3i3−i3−i300002-22-22i3−2i300000000000000000000-110000−i3i3000000000000000000
χ7544-4-4-2-2424-2-42-22-420-21-22i3−2i300-222i32i3−2i3−2i3-1-1-221224-400000010−i3i3001-1-1−i3−i3i3i30000-22-222i3−2i3000000000000000000001-10000−i3i3000000000000000000
χ7644-4-4-2-2424-2-42-22-420-21-22i3−2i300-222i32i3−2i3−2i3-1-1-22122-4400000010−i3i3001-1-1−i3−i3i3i300002-22-2−2i32i300000000000000000000-110000i3−i3000000000000000000
χ774-44-4444-4-4-4-44-444-404440000-4400004-4-4-4-44-400000000400000-44-4000000000000000000000000000000000000000000000000000000000000
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χ1088-88-8-4-484-84-8-44-4840-42-400004-400002-244-2-4400000000200000-22-2000000000000000000000000000000000000000000000000000000000000
χ1098-88-8-4-4-44444-44-4-44022200−4i34i3-222i3−2i32i3−2i32-2-2-2-22-200000000-10002i3−2i31-11−i3i3−i3i300000000000000000000000000000000000000000000000000000000
χ1108-88-8-4-4-44444-44-4-440222004i3−4i3-22−2i32i3−2i32i32-2-2-2-22-200000000-1000−2i32i31-11i3−i3i3−i300000000000000000000000000000000000000000000000000000000
χ1118-8-888-4-4-44-8-4-844480-4-4200004400004-4-224-2-400000000200000-2-22000000000000000000000000000000000000000000000000000000000000
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χ1148-8-88-4-4-4-444-44444-402220000-2-2-666-6-22-22-2-2200000000-10000011-13-3-3300000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).